Expanded form is breaking down or partitioning numbers into their correct place value. It’s often used for doing large sums without a calculator. It can also help us better understand the difference between thousands, hundredths, tens, single units, and decimal places.

Now it’s time to look at some examples of Expanded Forms:

79 is

70 and 9

188 is

100, 80 and 8

1568 is

1000 500 50 and 8

1.75 is

1 7/10 and 5/100

Expanded Form in Maths is not to be confused with Expanded Notation. Instead, it takes the numbers a step further. Once separated into digits, they are multiplied by their place value and added together.

For example, 668 could be written as (6 x 100) + (6 x 10) + (8 x 1)

The benefits of learning Expanded Form in Maths lessons:

Expanded Form can break large numbers into smaller separate digits. As such, it enables complex problem-solving in an easier way to understand.

Expanded Form can help us understand place value within the context of ordinary numbers.

As a valuable tool for doing mental arithmetic, this can also help us with common Maths problems in everyday life without having to rely on a calculator. For example, we could use Expanded Form to work out the sum of pupils in several classes or the quantities of ingredients for a recipe.

Within the broader subject of Maths learning, this also provides substantial mental discipline and gives logical reasoning to common problems. In addition, these qualities can benefit pupils in other issues, such as Science and musical notation.

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